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Finding the Fourth Proportional to 126.94, 189.12 and 122.59

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Solution

The fourth proportional to 126.94, 189.12 and 122.59 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.94 : 189.12 = 122.59 : x
  2. Step 2: Convert to fraction form
    126.94/189.12 = 122.59/x
  3. Step 3: Cross multiply
    126.94x = 189.12 × 122.59
  4. Step 4: Simplify right side
    126.94x = 23,183.61
  5. Step 5: Solve for x
    x = 23,183.61/126.94
  6. Step 6: Final answer
    x = 182.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.